Powharmonic series: Difference between revisions

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 The first period of the series, determined by <span><math>a</math></span>, will contain <span><math>b - 1</math></span> pitches. For example, the log-base-4-of-5-powharmonic series' first 5/1 interval will contain <span><math>4 - 1 = 3</math></span> pitches.
-== ln-of-a-powharmonic series ==
-[[File:Ln-of-2-powharmonic series.png|thumb|
-ln-of-2-powharmonic series
-]]
-Irrational values can be used as <span><math>a</math></span> or <span><math>b</math></span>.
-In particular it may be of interest to use [[wikipedia:E_(mathematical_constant)|<span><math>e</math></span>]] as <span><math>b</math></span> — in other words, to use a [[wikipedia:Natural_logarithm|natural logarithm]].
-For example, the ''ln-of-2-powharmonic series'' fits <span><math>e</math></span> times as many many more pitches into each next octave as the previous octave. Because <span><math>e</math></span> is irrational, however, no integer multiples of the octave will ever be reached.
-In fact, this series is equivalent to the example given in the introduction, because <span><math>ln(2) ≈ 0.69314718056</math></span>.
 == edharmonic series ==